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Constructive proof

In mathematics, a constructive proof is a method of proof that demonstrates the existence of a mathematical object by creating or providing a method for creating the object. This is in contrast to a non-constructive proof (also known as an existence proof or pure existence theorem), which proves the existence of a particular kind of object without…

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A historical example

Examples

Brouwerian counterexamples

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Constructive proof

Nodes58
Edges57
Triples16
Avg. degree1.97
Density0.034483
Components1

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Constructive proof

Top relations

related to Non-constructive proofs · 8
Constructive proof → But, Either, Euclid's, First, Now, Then, This, Without
related to A historical example · 6
Constructive proof → From, Georg Cantor’s, Hilbert's, Hilbert's Nullstellensatz, The, Until
is a · 1
Constructive proof → method of proof that demonstrates the existence of a mathematical object by creating or providing a method for creating the object
related to Constructive proofs · 1
Constructive proof → The

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Important terminology

proof constructive non-constructive mathematics theorem displaystyle rational example number statement also irrational existence proofs may counterexample sqrt however mathematical counterexamples

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Constructive proofis amethod of proof that demonstrates the existence of a mathematical object by creating or providing a method for creating the object0.90text
Constructive proofrelated to A historical exampleUntil0.60section
Constructive proofrelated to A historical exampleThe0.60section
Constructive proofrelated to A historical exampleGeorg Cantor’s0.60section
Constructive proofrelated to A historical exampleHilbert's Nullstellensatz0.60section
Constructive proofrelated to A historical exampleHilbert's0.60section
Constructive proofrelated to A historical exampleFrom0.60section
Constructive proofrelated to Constructive proofsThe0.60section
Constructive proofrelated to Non-constructive proofsFirst0.60section
Constructive proofrelated to Non-constructive proofsEuclid's0.60section
Constructive proofrelated to Non-constructive proofsBut0.60section
Constructive proofrelated to Non-constructive proofsThen0.60section

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